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4MA1/2FR Jun 2020, Question 22: Linear Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Factorise the quadratic x² − x − 42, then solve the inequality 3x + 15 < 8x + 3 showing algebraic working.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Factorise x² − x − 42.

  1. 1x² − x - 42
  2. 2Find two numbers that multiply to −42 and add to −1: −7 and 6
  3. 3(x − 7)(x + 6)

Answer(x + 6)(x − 7)

Part (b) · 3 marks

Solve 3x + 15 < 8x + 3, showing clear algebraic working.

  1. 13x + 15 < 8x + 3
  2. 23x − 8x < 3 − 15
  3. 3−5x < −12
  4. 4x > 12/5
  5. 5x > 2.4

Answerx > 2.4

Stuck on a step? Read the free lesson: Linear Inequalities

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